44577731406100 has 144 divisors (see below), whose sum is σ = 98658430855600. Its totient is φ = 17479890616320.

The previous prime is 44577731406079. The next prime is 44577731406137. The reversal of 44577731406100 is 160413777544.

It can be written as a sum of positive squares in 24 ways, for example, as 29737346614416 + 14840384791684 = 5453196^2 + 3852322^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5723161006 + ... + 5723168794.

Almost surely, 2^{44577731406100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44577731406100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49329215427800).

44577731406100 is an abundant number, since it is smaller than the sum of its proper divisors (54080699449500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44577731406100 is a wasteful number, since it uses less digits than its factorization.

44577731406100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13422 (or 13415 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 49.

The spelling of 44577731406100 in words is "forty-four trillion, five hundred seventy-seven billion, seven hundred thirty-one million, four hundred six thousand, one hundred".